Evaluate
\frac{4225}{66}\approx 64.015151515
Factor
\frac{5 ^ {2} \cdot 13 ^ {2}}{2 \cdot 3 \cdot 11} = 64\frac{1}{66} = 64.01515151515152
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\frac{169\times 1000}{550\times 24}\times 5
Divide 169 by \frac{550\times 24}{1000} by multiplying 169 by the reciprocal of \frac{550\times 24}{1000}.
\frac{5\times 169}{6\times 11}\times 5
Cancel out 4\times 50 in both numerator and denominator.
\frac{845}{6\times 11}\times 5
Multiply 5 and 169 to get 845.
\frac{845}{66}\times 5
Multiply 6 and 11 to get 66.
\frac{845\times 5}{66}
Express \frac{845}{66}\times 5 as a single fraction.
\frac{4225}{66}
Multiply 845 and 5 to get 4225.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}